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Finding the Fourth Proportional to 281.18, 421.78 and 107.90

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Solution

The fourth proportional to 281.18, 421.78 and 107.90 is: 161.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.18 : 421.78 = 107.90 : x
  2. Step 2: Convert to fraction form
    281.18/421.78 = 107.90/x
  3. Step 3: Cross multiply
    281.18x = 421.78 × 107.90
  4. Step 4: Simplify right side
    281.18x = 45,510.06
  5. Step 5: Solve for x
    x = 45,510.06/281.18
  6. Step 6: Final answer
    x = 161.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.